Similarity and Proportions Calculator

Proportion Formula:

\[ \frac{a₁}{a₂} = \frac{b₁}{b₂} \]

a₁, b₁: Dimensions of figure 1 (m)
a₂, b₂: Dimensions of figure 2 (m)

Figure 2 Dimension b₂:

Definition: This calculator determines missing dimensions in similar figures using the proportion principle.

Purpose: It helps architects, engineers, and designers find corresponding measurements in scaled or similar geometric figures.

The calculator uses the proportion formula:

\[ \frac{a₁}{a₂} = \frac{b₁}{b₂} \]

Where:

Explanation: The calculator solves for the missing dimension (b₂) by cross-multiplying the known values.

Details: Maintaining proper proportions ensures geometric similarity in scaled drawings, models, and architectural designs.

Tips: Enter any three known dimensions (a₁, b₁, a₂) to calculate the fourth (b₂). All values must be > 0.

Q1: Can I use different units?
A: Yes, as long as all dimensions use the same units (all meters, all feet, etc.).

Q2: What if my figures aren't similar?
A: This calculator assumes geometric similarity. Results won't be accurate for non-similar figures.

Q3: Can I calculate scale factor with this?
A: Yes, the ratio a₁/a₂ or b₁/b₂ gives the scale factor between figures.

Q4: How precise should my measurements be?
A: Use at least 2 decimal places for accurate results in most applications.

Q5: Can this work for 3D objects?
A: Yes, the same proportion principle applies to three-dimensional similar objects.